Maths-

General

Easy

Question

The foot of the perpendicular on the line drown from the origin is C if the line cuts the x-axis and y-axis at A and B respectively then BC : CA is

- 1:3
- 3:1
- 1:9
- 9:1

## The correct answer is: 9:1

### Let direction ratios of the required line be <a, b, c>

Therefore a - 2 b - 2 c = 0

And 2 b + c = 0

Þ c = - 2 b

a - 2 b + 4b = 0 Þ a = - 2 b

Therefore direction ratios of the required line are <- 2b, b, - 2b> = <2, - 1, 2>

direction cosines of the required line

=

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